Question

(a+b)x+(a-b)y=2ab
(a+b)x-(a-b)y= ab
Can you solve this , class 10 chapter no.3

Answer 1

Step-by-step explanation:

(a+b)x+(a-b)y=2ab

ax+bx+ay-by=2ab. (1)

(a+b)x+(a-b)y=ab

ax+bx-ay+by=ab. (2)

add eqs.(1)&(2)

2(a+b)x=3ab

x=3ab/2(a+b)

substract eq.(2) from eq.(1) we get

2ay-2by=ab

2(a-b)y=ab

y=ab/2(a-b)

Answer 2

Answer:

x = [ 3ab ] / [ 2(a + b) ]

y = [ ab ] / [ 2(a - b) ]

Step-by-step explanation:

Given :

1st equation : (a + b)x + (a - b)y = 2ab

2nd equation : (a + b)x - (a - b)y = ab

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First, add both the equations.

→ [ (a + b)x + (a - b)y ] + [ (a + b)x - (a - b)y ] = 2ab + ab

• Opening the brackets.

→ (a + b)x + (a - b)y + (a + b)x - (a - b)y = 3ab

• Writing the common terms together.

→ (a + b)x + (a + b)x + (a - b)y - (a - b)y = 3ab

• Cancelling the common terms.

→ (a + b)x + (a + b)x = 3ab

→ 2(a + b)x = 3ab

• Transposing the terms.

→ x = [ 3ab ] / [ 2(a + b) ]

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Second, subtract both the equations.

→ [ (a + b)x + (a - b)y ] - [ (a + b)x - (a - b)y ] = 2ab - ab

• Opening the brackets.

→ (a + b)x + (a - b)y - (a + b)x + (a - b)y = ab

• Writing the common terms together.

→ (a + b)x - (a + b)x + (a - b)y + (a - b)y = ab

• Cancelling the common terms.

→ (a - b)y + (a - b)y = ab

→ 2(a - b)y = ab

• Transposing the terms.

→ y = [ ab ] / [ 2(a - b) ]